L2 Invariants of Hodge Modules and Shafarevich Morphisms

Explore a comprehensive lecture on L2 invariants of Hodge Modules and Shafarevich morphisms presented by Philippe Eyssidieux from Université Grenoble Alpes. Delve into the speaker's work, including ongoing research and collaborations with Bastien Jean, focusing on L2 constructible cohomology and Mixed Hodge structures on reduced L2 cohomology of Mixed Hodge Modules. Examine the potential topological implications of the linear Shafarevich conjecture, which remains conjectural. Gain insights into advanced mathematical concepts and their applications in this hour-long presentation from the "Periods, Shafarevich Maps and Applications" conference hosted by the University of Miami.